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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 580 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mean of 18, 17, 4 and 13? (a) 14 (b) 13 (c) 12 (d) 15
  2. 2.The mean of 6 numbers is 30. When the number 58 is added to them, what is the new mean? (a) 44 (b) 30 (c) 34 (d) 35
  3. 3.What is the mode of 9, 18, 3, 18, 9, 8 and 18? (a) 18 (b) 8 (c) 3 (d) 9
  4. 4.What is the mode of 17, 2, 6, 2, 14, 6 and 2? (a) 17 (b) 14 (c) 6 (d) 2
  5. 5.The mean of 4 numbers is 17. When the number 32 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 17
  6. 6.What is the mean of 4, 19, 14, 12 and 6? (a) 11 (b) 13 (c) 12 (d) 10
  7. 7.The mean of 8 numbers is 11. When the number 47 is added to them, what is the new mean? (a) 29 (b) 16 (c) 11 (d) 15
  8. 8.What is the mean of 6, 8, 5, 6 and 10? (a) 6 (b) 7 (c) 8 (d) 9
  9. 9.The mean of 4 numbers is 31. When the number 16 is added to them, what is the new mean? (a) 28 (b) 29 (c) 31 (d) 27
  10. 10.The mean of 7 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 10 (b) 13 (c) 14 (d) 12
  11. 11.The mean of 7 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 31 (b) 29 (c) 37 (d) 32
  12. 12.What is the mean of 17, 8, 5, 19, 19 and 10? (a) 14 (b) 15 (c) 12 (d) 13
  13. 13.What is the mode of 3, 3, 2, 3, 8, 8 and 20? (a) 20 (b) 8 (c) 3 (d) 2
  14. 14.What is the median of 28, 29, 24, 16, 17, 33 and 38? (a) 24 (b) 28 (c) 16 (d) 29
  15. 15.What is the mean of 4, 8, 11, 11 and 6? (a) 8 (b) 10 (c) 9 (d) 7
  16. 16.What is the median of 28, 8, 13, 6 and 16? (a) 8 (b) 16 (c) 13 (d) 14
  17. 17.What is the mean of 13, 16, 7, 3, 14 and 25? (a) 15 (b) 14 (c) 12 (d) 13
  18. 18.What is the mean of 6, 13, 14, 12, 15 and 18? (a) 13 (b) 14 (c) 15 (d) 12
  19. 19.What is the mode of 6, 17, 3, 8, 6, 6 and 17? (a) 17 (b) 6 (c) 8 (d) 3
  20. 20.What is the mode of 6, 3, 9, 9, 6, 14 and 6? (a) 14 (b) 3 (c) 6 (d) 9
  21. 21.What is the mode of 7, 8, 7, 12, 8, 7 and 15? (a) 12 (b) 8 (c) 15 (d) 7
  22. 22.What is the mean of 12, 8, 11, 12, 7 and 10? (a) 11 (b) 9 (c) 10 (d) 12
  23. 23.The mean of 3 numbers is 40. When the number 32 is added to them, what is the new mean? (a) 39 (b) 38 (c) 36 (d) 40
  24. 24.What is the mean of 13, 6, 20 and 5? (a) 10 (b) 12 (c) 13 (d) 11
  25. 25.What is the median of 35, 6, 32, 9 and 30? (a) 30 (b) 31 (c) 32 (d) 9
  26. 26.What is the median of 39, 3, 30, 26, 13, 5 and 10? (a) 10 (b) 26 (c) 18 (d) 13
  27. 27.What is the mode of 1, 6, 18, 5, 6, 18 and 18? (a) 5 (b) 6 (c) 18 (d) 1
  28. 28.The mean of 5 numbers is 17. When the number 29 is added to them, what is the new mean? (a) 17 (b) 19 (c) 23 (d) 20
  29. 29.The mean of 9 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 20 (b) 22 (c) 21 (d) 25
  30. 30.What is the mean of 16, 19, 14 and 19? (a) 17 (b) 19 (c) 16 (d) 18
  31. 31.What is the mean of 14, 6, 7 and 5? (a) 10 (b) 9 (c) 8 (d) 7
  32. 32.What is the mode of 19, 18, 5, 17, 5, 5 and 17? (a) 19 (b) 5 (c) 17 (d) 18
  33. 33.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 19 (b) 21 (c) 23 (d) 20
  34. 34.What is the mean of 20, 6, 2, 7, 6 and 7? (a) 9 (b) 8 (c) 7 (d) 10
  35. 35.What is the mean of 5, 5, 12, 14, 15 and 15? (a) 13 (b) 11 (c) 10 (d) 12
  36. 36.What is the median of 20, 28, 12, 24, 5, 23 and 6? (a) 24 (b) 23 (c) 20 (d) 12
  37. 37.What is the median of 11, 7, 22, 18 and 30? (a) 19 (b) 11 (c) 18 (d) 22
  38. 38.What is the median of 32, 21, 24, 29 and 34? (a) 28 (b) 32 (c) 24 (d) 29
  39. 39.What is the median of 8, 40, 32, 9 and 26? (a) 9 (b) 32 (c) 23 (d) 26
  40. 40.What is the median of 5, 15, 17, 21 and 26? (a) 21 (b) 18 (c) 15 (d) 17

Answer key

  1. 13
  2. 34
  3. 18
  4. 2
  5. 20
  6. 11
  7. 15
  8. 7
  9. 28
  10. 13
  11. 31
  12. 13
  13. 3
  14. 28
  15. 8
  16. 13
  17. 13
  18. 13
  19. 6
  20. 6
  21. 7
  22. 10
  23. 38
  24. 11
  25. 30
  26. 13
  27. 18
  28. 19
  29. 21
  30. 17
  31. 8
  32. 5
  33. 20
  34. 8
  35. 11
  36. 20
  37. 18
  38. 29
  39. 26
  40. 17

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